a+(a+1)+(a+2)+(a+3)+(a+4)=90

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Solution for a+(a+1)+(a+2)+(a+3)+(a+4)=90 equation:


Simplifying
a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 90

Reorder the terms:
a + (1 + a) + (a + 2) + (a + 3) + (a + 4) = 90

Remove parenthesis around (1 + a)
a + 1 + a + (a + 2) + (a + 3) + (a + 4) = 90

Reorder the terms:
a + 1 + a + (2 + a) + (a + 3) + (a + 4) = 90

Remove parenthesis around (2 + a)
a + 1 + a + 2 + a + (a + 3) + (a + 4) = 90

Reorder the terms:
a + 1 + a + 2 + a + (3 + a) + (a + 4) = 90

Remove parenthesis around (3 + a)
a + 1 + a + 2 + a + 3 + a + (a + 4) = 90

Reorder the terms:
a + 1 + a + 2 + a + 3 + a + (4 + a) = 90

Remove parenthesis around (4 + a)
a + 1 + a + 2 + a + 3 + a + 4 + a = 90

Reorder the terms:
1 + 2 + 3 + 4 + a + a + a + a + a = 90

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + a + a + a + a + a = 90

Combine like terms: 3 + 3 = 6
6 + 4 + a + a + a + a + a = 90

Combine like terms: 6 + 4 = 10
10 + a + a + a + a + a = 90

Combine like terms: a + a = 2a
10 + 2a + a + a + a = 90

Combine like terms: 2a + a = 3a
10 + 3a + a + a = 90

Combine like terms: 3a + a = 4a
10 + 4a + a = 90

Combine like terms: 4a + a = 5a
10 + 5a = 90

Solving
10 + 5a = 90

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 5a = 90 + -10

Combine like terms: 10 + -10 = 0
0 + 5a = 90 + -10
5a = 90 + -10

Combine like terms: 90 + -10 = 80
5a = 80

Divide each side by '5'.
a = 16

Simplifying
a = 16

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